Find the value of n if n/3 - 1/3n = 1/n

Let the equation be  n/3 - 1/3n =
1/n

To solve, we will try and get rid of the denominator by
multiplying by the factor.

Multiply by
3n.

==> 3n(n/3) - 3n(1/3n) =
3n(1/n)

==> n^2 - 1 =
3.

Now we will add 1 to both
sides.

==> n^2 = 4.

Now
we will take the root of both sides.

==> n =
+-2

Then, there are two possible values for
n.

==> n = { -2,
2}